Skip to main content
SpringerLink
Log in

Nonlinear Theory of Electroelastic and Magnetoelastic Interactions

  • Book
  • © 2014

Overview

Authors:
  1. Luis Dorfmann

    1. Tufts University, Medford, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Ray W. Ogden

    1. University of Glasgow, Glasgow, United Kingdom

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • This book will provide a range of topics and up-to-date notations on the subject whereas many monographs available in the marketplace do not; the main reference for magnetoelasticity was published in 1966 and no longer available

  • Nonlinear mechanics of magneto- and electro-sensitive materials is at the frontier of solid mechanics and has a profound impact on material science

  • Includes supplementary material: sn.pub/extras

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Introduction

    • Luis Dorfmann, Ray W. Ogden
    Pages 1-8

  3. Electromagnetic Theory

    • Luis Dorfmann, Ray W. Ogden
    Pages 9-46

  4. Nonlinear Elasticity Background

    • Luis Dorfmann, Ray W. Ogden
    Pages 47-90

  5. Nonlinear Electroelastic Interactions

    • Luis Dorfmann, Ray W. Ogden
    Pages 91-112

  6. Electroelastic Boundary-Value Problems

    • Luis Dorfmann, Ray W. Ogden
    Pages 113-136

  7. Nonlinear Magnetoelastic Interactions

    • Luis Dorfmann, Ray W. Ogden
    Pages 137-155

  8. Magnetoelastic Boundary-Value Problems

    • Luis Dorfmann, Ray W. Ogden
    Pages 157-179

  9. Variational Formulations in Electroelasticity and Magnetoelasticity

    • Luis Dorfmann, Ray W. Ogden
    Pages 181-197

  10. Incremental Equations

    • Luis Dorfmann, Ray W. Ogden
    Pages 199-229

  11. Electroelastic Stability

    • Luis Dorfmann, Ray W. Ogden
    Pages 231-259

  12. Magnetoelastic Wave Propagation

    • Luis Dorfmann, Ray W. Ogden
    Pages 261-297

  13. Back Matter

    Pages 299-313
    Download chapter PDF
Back to top

Keywords

About this book

This book provides a unified theory on nonlinear electro-magnetomechanical interactions of soft materials capable of large elastic deformations. The authors include an overview of the basic principles of the classic theory of electromagnetism from the fundamental notions of point charges and magnetic dipoles through to distributions of charge and current in a non-deformable continuum, time-dependent electromagnetic fields and Maxwell’s equations. They summarize relevant theories of continuum mechanics, required to account for the deformability of material and present a constitutive framework for the nonlinear magneto-and electroelastic interactions in a highly deformable material. The equations contained in the book formulate and solve a variety of representative boundary-value problems for both nonlinear magnetoelasticity and electroelasticity.

Reviews

From the book reviews:

“This is an excellent book devoted to a unified theory of nonlinear interactions of electroelastic and magnetoelastic fields. The presentation in this book is informative and useful for mathematicians interested in applications of the nonlinear PDE and boundary value problems.” (Vladimir Mityushev, zbMATH, Vol. 1291, 2014)

Authors and Affiliations

  • Tufts University, Medford, USA

    Luis Dorfmann

  • University of Glasgow, Glasgow, United Kingdom

    Ray W. Ogden

About the authors

A. Luis Dorfmann and Raymond W. Ogden are giants in this field and in the field of Nonlinear Elasticity. Dr. Dorfmann is a faculty member at Tufts University and Dr. Ogden is a faculty member at the University of Glasgow.

Bibliographic Information

  • Book Title: Nonlinear Theory of Electroelastic and Magnetoelastic Interactions

  • Authors: Luis Dorfmann, Ray W. Ogden

  • DOI: https://doi.org/10.1007/978-1-4614-9596-3

  • Publisher: Springer New York, NY

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Science+Business Media New York 2014

  • Hardcover ISBN: 978-1-4614-9595-6Published: 07 February 2014

  • Softcover ISBN: 978-1-4899-7935-3Published: 27 August 2016

  • eBook ISBN: 978-1-4614-9596-3Published: 06 February 2014

  • Edition Number: 1

  • Number of Pages: XI, 313

  • Number of Illustrations: 19 b/w illustrations

  • Topics: Electrical Engineering, Theoretical and Applied Mechanics, Solid Mechanics

Publish with us

Policies and ethics

Back to top

Search

Navigation